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Finding the Fourth Proportional to 9,401.44, 12,973.82 and 5,209.60

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Solution

The fourth proportional to 9,401.44, 12,973.82 and 5,209.60 is: 7,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.44 : 12,973.82 = 5,209.60 : x
  2. Step 2: Convert to fraction form
    9,401.44/12,973.82 = 5,209.60/x
  3. Step 3: Cross multiply
    9,401.44x = 12,973.82 × 5,209.60
  4. Step 4: Simplify right side
    9,401.44x = 67,588,412.67
  5. Step 5: Solve for x
    x = 67,588,412.67/9,401.44
  6. Step 6: Final answer
    x = 7,189.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.